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arXiv · 2008.01923

Landauer conductance in the complex domain: A path to find closed-form solutions

Mauricio J. Rodríguez·Bryan D. Gomez·Carlos Ramírez
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Abstract

The Landauer formula allows us to describe theoretically the conductance in terms of the transmission function in a mesoscopic system. We propose a general method to evaluate the transmission function in the complex domain for systems connected to semi-infinite atomic chains. This reveals the presence of complex-conjugated pairs of simple poles that are responsible for transmission peaks in the real-domain evaluations. This leads us to formulate a closed-form expression for the transmission function.

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Mauricio J. Rodríguez, Bryan D. Gomez, Carlos Ramírez. 2020-08-05. Landauer conductance in the complex domain: A path to find closed-form solutions. https://arxiv.org/abs/2008.01923

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